Proves Howe duality for the dual pair SL_2(R) × F_{4,1} by relating K-types via a pair of see-saw identities.
Howe, Transcending classical invariant theory
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Howe duality for the dual pair $SL_2(\mathbb R) \times F_{4,1}$: a ping-pong of $K$-types
Proves Howe duality for the dual pair SL_2(R) × F_{4,1} by relating K-types via a pair of see-saw identities.